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In a few cases, due to the complexity of the geometry, an approximation is applied in the estimation of the probability of HO. Figure 8 shows an example in which the approximation is used (i.e., for the probability of HO to AP3 and AP4).
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The single scattering approximation was applied in order to consider the effects of an approximately 20 km-thick haze layer above the main cloud deck, which was considered as a reflecting cloud located in the upper atmosphere of the planet.
As an initial comparison between linear and nonlinear Poisson−Boltzmann analysis indicated negligible differences, the linear approximation was applied in this study.
Thus, the approximations are applied in two situations in the case of the SIS model where: (1) the death rate is independent of disease status; and (2) the death rate is disease-dependent.
Although shearing is inevitably a 3D operation, 2D approximations are applied in FE simulations due to shorter computation times and better availability of adaptive remeshing techniques to overcome element distortion.
In order to reduce the computational complexity, particle filter based on the Monte Carlo approximation is applied for visual tracking in practice.
In this paper, the cluster variation method based simple cube approximation is applied to predict phase transformations in a hypothetical system and the effect of alloying elements on the distribution of atoms and vacancies in fcc structured transition metal hosts.
It would be nice to have some kind of result for (e^{-itdot{C}}) but it is unlikely there is one when the approximation is applied to a vector not in (overline{V_q}).
For natural convection, the Boussinesq approximation is applied; to ensure that the code works in near incompressible regime, the characteristic velocity must be small compared with the fluid speed of sound.
The Boussinesq approximation is applied here.
In addition, combined with the interactive decision-making procedure, the continuous approximation of Pareto front is applied in the multi-objective optimization for an industrial fed-batch yeast fermentation process.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com